{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# pomegranate / sklearn Naive Bayes comparison\n",
    "\n",
    "authors: <br>\n",
    "Nicholas Farn (nicholasfarn@gmail.com) <br>\n",
    "Jacob Schreiber (jmschreiber91@gmail.com)\n",
    "\n",
    "<a href=\"https://github.com/scikit-learn/scikit-learn\">sklearn</a> is a very popular machine learning package for Python which implements a wide variety of classical machine learning algorithms. In this notebook we benchmark the Naive Bayes implementations in pomegranate and compare it to the implementation in sklearn."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline\n",
    "import seaborn, time\n",
    "seaborn.set_style('whitegrid')\n",
    "\n",
    "from sklearn.naive_bayes import GaussianNB\n",
    "from pomegranate import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Lets first define a function which will create a dataset to train on. We want to be able to test a range of datasets, from very small to very large, to see which implementation is faster. We also want a function which will take in the models and evaluate them. Lets define both of those now."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_dataset(n_samples, n_dim, n_classes):\n",
    "    \"\"\"Create a random dataset with n_samples in each class.\"\"\"\n",
    "    \n",
    "    X = numpy.concatenate([numpy.random.randn(n_samples, n_dim) + i for i in range(n_classes)])\n",
    "    y = numpy.concatenate([numpy.zeros(n_samples) + i for i in range(n_classes)])\n",
    "    return X, y\n",
    "\n",
    "def plot(fit, predict, skl_error, pom_error, sizes, xlabel):\n",
    "    \"\"\"Plot the results.\"\"\"\n",
    "    \n",
    "    idx = numpy.arange(fit.shape[1])\n",
    "    \n",
    "    plt.figure(figsize=(14, 4))\n",
    "    plt.plot(fit.mean(axis=0), c='c', label=\"Fitting\")\n",
    "    plt.plot(predict.mean(axis=0), c='m', label=\"Prediction\")\n",
    "    plt.plot([0, fit.shape[1]], [1, 1], c='k', label=\"Baseline\")\n",
    "    \n",
    "    plt.fill_between(idx, fit.min(axis=0), fit.max(axis=0), color='c', alpha=0.3)\n",
    "    plt.fill_between(idx, predict.min(axis=0), predict.max(axis=0), color='m', alpha=0.3)\n",
    "    \n",
    "    plt.xticks(idx, sizes, rotation=65, fontsize=14)\n",
    "    plt.xlabel('{}'.format(xlabel), fontsize=14)\n",
    "    plt.ylabel('pomegranate is x times faster', fontsize=14)\n",
    "    plt.legend(fontsize=12, loc=4)\n",
    "    plt.show()\n",
    "    \n",
    "    \n",
    "    plt.figure(figsize=(14, 4))\n",
    "    plt.plot(1 - skl_error.mean(axis=0), alpha=0.5, c='c', label=\"sklearn accuracy\")\n",
    "    plt.plot(1 - pom_error.mean(axis=0), alpha=0.5, c='m', label=\"pomegranate accuracy\")\n",
    "    \n",
    "    plt.fill_between(idx, 1-skl_error.min(axis=0), 1-skl_error.max(axis=0), color='c', alpha=0.3)\n",
    "    plt.fill_between(idx, 1-pom_error.min(axis=0), 1-pom_error.max(axis=0), color='m', alpha=0.3)\n",
    "    \n",
    "    plt.xticks(idx, sizes, rotation=65, fontsize=14)\n",
    "    plt.xlabel('{}'.format(xlabel), fontsize=14)\n",
    "    plt.ylabel('Accuracy', fontsize=14)\n",
    "    plt.legend(fontsize=14) \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Lets look first at single dimension Gaussian datasets. We'll look at how many times faster pomegranate is, which means that values > 1 show pomegranate is faster and < 1 show pomegranate is slower. Lets also look at the accuracy of both algorithms. They should have the same accuracy since they implement the same algorithm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sizes = numpy.around(numpy.exp(numpy.arange(8, 16))).astype('int')\n",
    "n, m = sizes.shape[0], 20\n",
    "\n",
    "skl_predict, pom_predict = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "skl_fit, pom_fit = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "skl_error, pom_error = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "\n",
    "for i in range(m):\n",
    "    for j, size in enumerate(sizes):\n",
    "        X, y = create_dataset(size, 1, 2)\n",
    "\n",
    "        # bench fit times\n",
    "        tic = time.time()\n",
    "        skl = GaussianNB()\n",
    "        skl.fit(X, y)\n",
    "        skl_fit[i, j] = time.time() - tic\n",
    "\n",
    "        tic = time.time()\n",
    "        pom = NaiveBayes.from_samples(NormalDistribution, X, y)\n",
    "        pom_fit[i, j] = time.time() - tic\n",
    "\n",
    "        # bench predict times\n",
    "        tic = time.time()\n",
    "        skl_predictions = skl.predict(X)\n",
    "        skl_predict[i, j] = time.time() - tic\n",
    "\n",
    "        tic = time.time()\n",
    "        pom_predictions = pom.predict(X)\n",
    "        pom_predict[i, j] = time.time() - tic\n",
    "\n",
    "        # check number wrong\n",
    "        skl_e = (y != skl_predictions).mean()\n",
    "        pom_e = (y != pom_predictions).mean()\n",
    "\n",
    "        skl_error[i, j] = min(skl_e, 1-skl_e)\n",
    "        pom_error[i, j] = min(pom_e, 1-pom_e)\n",
    "\n",
    "fit = skl_fit / pom_fit\n",
    "predict = skl_predict / pom_predict\n",
    "\n",
    "plot(fit, predict, skl_error, pom_error, sizes, \"samples per component\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It looks as if pomegranate is approximately the same speed for training small models but that the prediction time can be a lot faster in pomegranate than in sklearn.\n",
    "\n",
    "Now let's take a look at how speeds change as we increase the number of classes that need to be predicted rather than phrasing all of the comparisons on binary classification."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sizes = numpy.arange(2, 21).astype('int')\n",
    "n, m = sizes.shape[0], 20\n",
    "\n",
    "skl_predict, pom_predict = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "skl_fit, pom_fit = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "skl_error, pom_error = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "\n",
    "for i in range(m):\n",
    "    for j, size in enumerate(sizes):\n",
    "        X, y = create_dataset(50000 // size, 1, size)\n",
    "\n",
    "        # bench fit times\n",
    "        tic = time.time()\n",
    "        skl = GaussianNB()\n",
    "        skl.fit(X, y)\n",
    "        skl_fit[i, j] = time.time() - tic\n",
    "\n",
    "        tic = time.time()\n",
    "        pom = NaiveBayes.from_samples(NormalDistribution, X, y)\n",
    "        pom_fit[i, j] = time.time() - tic\n",
    "\n",
    "        # bench predict times\n",
    "        tic = time.time()\n",
    "        skl_predictions = skl.predict(X)\n",
    "        skl_predict[i, j] = time.time() - tic\n",
    "\n",
    "        tic = time.time()\n",
    "        pom_predictions = pom.predict(X)\n",
    "        pom_predict[i, j] = time.time() - tic\n",
    "\n",
    "        # check number wrong\n",
    "        skl_e = (y != skl_predictions).mean()\n",
    "        pom_e = (y != pom_predictions).mean()\n",
    "\n",
    "        skl_error[i, j] = min(skl_e, 1-skl_e)\n",
    "        pom_error[i, j] = min(pom_e, 1-pom_e)\n",
    "\n",
    "fit = skl_fit / pom_fit\n",
    "predict = skl_predict / pom_predict\n",
    "\n",
    "plot(fit, predict, skl_error, pom_error, sizes, \"number of classes\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It looks like, again, pomegranate is around the same speed as sklearn for fitting models, but that it is consistently much faster to make predictions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.57 ms ± 38.4 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n",
      "672 µs ± 11.3 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n"
     ]
    }
   ],
   "source": [
    "X, y = create_dataset(50000, 1, 2)\n",
    "skl = GaussianNB()\n",
    "skl.fit(X, y)\n",
    "\n",
    "pom = NaiveBayes.from_samples(NormalDistribution, X, y)\n",
    "\n",
    "%timeit skl.predict(X)\n",
    "%timeit pom.predict(X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This does show that pomegranate is faster at making predictions but that both are so fast that potentially it doesn't really matter.\n",
    "\n",
    "While it's good to start off by looking at naive Bayes' models defined on single features, the more common setting is one where you have many features. Let's look take a look at the relative speeds on larger number of examples when there are 5 features rather than a single one.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sizes = numpy.around(numpy.exp(numpy.arange(8, 16))).astype('int')\n",
    "n, m = sizes.shape[0], 20\n",
    "\n",
    "skl_predict, pom_predict = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "skl_fit, pom_fit = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "skl_error, pom_error = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "\n",
    "for i in range(m):\n",
    "    for j, size in enumerate(sizes):\n",
    "        X, y = create_dataset(size, 5, 2)\n",
    "\n",
    "        # bench fit times\n",
    "        tic = time.time()\n",
    "        skl = GaussianNB()\n",
    "        skl.fit(X, y)\n",
    "        skl_fit[i, j] = time.time() - tic\n",
    "\n",
    "        tic = time.time()\n",
    "        pom = NaiveBayes.from_samples(NormalDistribution, X, y)\n",
    "        pom_fit[i, j] = time.time() - tic\n",
    "\n",
    "        # bench predict times\n",
    "        tic = time.time()\n",
    "        skl_predictions = skl.predict(X)\n",
    "        skl_predict[i, j] = time.time() - tic\n",
    "\n",
    "        tic = time.time()\n",
    "        pom_predictions = pom.predict(X)\n",
    "        pom_predict[i, j] = time.time() - tic\n",
    "\n",
    "        # check number wrong\n",
    "        skl_e = (y != skl_predictions).mean()\n",
    "        pom_e = (y != pom_predictions).mean()\n",
    "\n",
    "        skl_error[i, j] = min(skl_e, 1-skl_e)\n",
    "        pom_error[i, j] = min(pom_e, 1-pom_e)\n",
    "\n",
    "fit = skl_fit / pom_fit\n",
    "predict = skl_predict / pom_predict\n",
    "\n",
    "plot(fit, predict, skl_error, pom_error, sizes, \"samples per component\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It looks like pomegranate can be around twice as fast at fitting multivariate Gaussian Naive Bayes models than sklearn when there is more than one feature.\n",
    "\n",
    "Finally lets show an increasing number of dimensions with a fixed set of 10 classes and 50,000 samples per class."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sizes = numpy.arange(5, 101, 5).astype('int')\n",
    "n, m = sizes.shape[0], 20\n",
    "\n",
    "skl_predict, pom_predict = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "skl_fit, pom_fit = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "skl_error, pom_error = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "\n",
    "for i in range(m):\n",
    "    for j, size in enumerate(sizes):\n",
    "        X, y = create_dataset(50000, size, 2)\n",
    "\n",
    "        # bench fit times\n",
    "        tic = time.time()\n",
    "        skl = GaussianNB()\n",
    "        skl.fit(X, y)\n",
    "        skl_fit[i, j] = time.time() - tic\n",
    "\n",
    "        tic = time.time()\n",
    "        pom = NaiveBayes.from_samples(NormalDistribution, X, y)\n",
    "        pom_fit[i, j] = time.time() - tic\n",
    "\n",
    "        # bench predict times\n",
    "        tic = time.time()\n",
    "        skl_predictions = skl.predict(X)\n",
    "        skl_predict[i, j] = time.time() - tic\n",
    "\n",
    "        tic = time.time()\n",
    "        pom_predictions = pom.predict(X)\n",
    "        pom_predict[i, j] = time.time() - tic\n",
    "\n",
    "        # check number wrong\n",
    "        skl_e = (y != skl_predictions).mean()\n",
    "        pom_e = (y != pom_predictions).mean()\n",
    "\n",
    "        skl_error[i, j] = min(skl_e, 1-skl_e)\n",
    "        pom_error[i, j] = min(pom_e, 1-pom_e)\n",
    "\n",
    "fit = skl_fit / pom_fit\n",
    "predict = skl_predict / pom_predict\n",
    "\n",
    "plot(fit, predict, skl_error, pom_error, sizes, \"dimensions\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looks like pomegranate is consistently faster than sklearn at fitting the model but conveges to be approximately the same speed at making predictions in the high dimensional setting. Their accuracies remain identical indicating that the two are learning the same model."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Out of Core Training\n",
    "\n",
    "Lastly, both pomegranate and sklearn allow for out of core training by fitting on chunks of a dataset. pomegranate does this by calculating summary statistics on the dataset which are enough to allow for exact parameter updates to be done. sklearn implements this using the `model.partial_fit(X, y)` API call, whereas pomegranate uses `model.summarize(X, y)` followed by `model.from_summaries()` to update the internal parameters.  \n",
    "\n",
    "Lets compare how long each method takes to train on 25 batches of increasing sizes and the accuracy of both methods."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sizes = numpy.around( numpy.exp( numpy.arange(8, 16) ) ).astype('int')\n",
    "n, m = sizes.shape[0], 20\n",
    "\n",
    "skl_time, pom_time = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "skl_error, pom_error = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "\n",
    "for i in range(m):\n",
    "    for j, size in enumerate(sizes):\n",
    "        skl = GaussianNB()\n",
    "        pom = NaiveBayes([IndependentComponentsDistribution([NormalDistribution(0, 1) for i in range(5)]),\n",
    "                          IndependentComponentsDistribution([NormalDistribution(0, 1) for i in range(5)])])\n",
    "        \n",
    "        for l in range(5):\n",
    "            X, y = create_dataset(size, 5, 2)\n",
    "\n",
    "            tic = time.time()\n",
    "            skl.partial_fit(X, y, classes=[0, 1])\n",
    "            skl_time[i, j] += time.time() - tic\n",
    "\n",
    "            tic = time.time()\n",
    "            pom.summarize( X, y )\n",
    "            pom_time[i, j] += time.time() - tic\n",
    "\n",
    "        tic = time.time()\n",
    "        pom.from_summaries()\n",
    "        pom_time[i, j] += time.time() - tic\n",
    "\n",
    "        skl_predictions = skl.predict( X )\n",
    "        pom_predictions = pom.predict( X )\n",
    "\n",
    "        skl_error[i, j] = ( y != skl_predictions ).mean()\n",
    "        pom_error[i, j] = ( y != pom_predictions ).mean()\n",
    "\n",
    "fit = skl_time / pom_time\n",
    "idx = numpy.arange(fit.shape[1])\n",
    "\n",
    "plt.figure( figsize=(14, 4))\n",
    "plt.plot( fit.mean(axis=0), c='c', label=\"Fitting\")\n",
    "plt.plot( [0, fit.shape[1]], [1, 1], c='k', label=\"Baseline\" )\n",
    "plt.fill_between( idx, fit.min(axis=0), fit.max(axis=0), color='c', alpha=0.3 )\n",
    "\n",
    "plt.xticks(idx, sizes, rotation=65, fontsize=14)\n",
    "plt.xlabel('{}'.format(xlabel), fontsize=14)\n",
    "plt.ylabel('pomegranate is x times faster', fontsize=14)\n",
    "plt.legend(fontsize=12, loc=4)\n",
    "plt.show()\n",
    "\n",
    "plt.figure( figsize=(14, 4))\n",
    "plt.plot( 1 - skl_error.mean(axis=0), alpha=0.5, c='c', label=\"sklearn accuracy\" )\n",
    "plt.plot( 1 - pom_error.mean(axis=0), alpha=0.5, c='m', label=\"pomegranate accuracy\" )\n",
    "\n",
    "plt.fill_between( idx, 1-skl_error.min(axis=0), 1-skl_error.max(axis=0), color='c', alpha=0.3 )\n",
    "plt.fill_between( idx, 1-pom_error.min(axis=0), 1-pom_error.max(axis=0), color='m', alpha=0.3 )\n",
    "\n",
    "plt.xticks( idx, sizes, rotation=65, fontsize=14)\n",
    "plt.xlabel('Batch Size', fontsize=14)\n",
    "plt.ylabel('Accuracy', fontsize=14)\n",
    "plt.legend(fontsize=14) \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "pomegranate seems to be much faster at doing out-of-core training. The out of core API of calculating sufficient statistics using `summarize` and then updating the model parameters using `from_summaries` extends to all models in pomegranate. \n",
    "\n",
    "In this notebook we compared an intersection of the features that pomegranate and sklearn offer. pomegranate allows you to use Naive Bayes with any distribution or model object which has an exposed `log_probability` and `fit` method. This allows you to do things such as compare hidden Markov models to each other, or compare a hidden Markov model to a Markov Chain to see which one models the data better. \n",
    "\n",
    "We hope this has been useful to you! If you're interested in using pomegranate, you can get it using `pip install pomegranate` or by checking out the <a href=\"https://github.com/jmschrei/pomegranate\">github repo.</a>"
   ]
  }
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